Write the dimensional formula of the Rydberg constant $(R)$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The Rydberg formula for the wavelength $(\lambda)$ of light emitted in a hydrogen transition is given by:
$\frac{1}{\lambda} = R \left( \frac{1}{n_1^2} - \frac{1}{n_2^2} \right)$
Here, $\lambda$ is the wavelength, which has the dimension of length $([L])$.
$n_1$ and $n_2$ are integers, which are dimensionless.
Therefore, the dimension of the Rydberg constant $(R)$ is the inverse of the dimension of wavelength.
$[R] = \frac{1}{[L]} = [L^{-1}]$
In terms of fundamental dimensions, this is $[M^0 L^{-1} T^0]$.

Explore More

Similar Questions

The dimensional formula of angular velocity is

Out of the following four dimensional quantities,which one is called a dimensional constant?

Force $F = P \cos(Ax) + Q \sin(Bt)$,where $x$ and $t$ are displacement and time respectively. Which one of the following physical quantities has the dimensions of $\left[\frac{B}{A}\right]$?

What is the dimensional formula for the impulse of a force?

Which one of the following is not correct?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo